Tip 1: Make sure the bottom numbers (the denominators) are the same Step 2: Add the optimal numbers (the numerators), put that answer over the denominator Step 3: Simplify the fractivity (if needed)

Tip 1. The bottom numbers (the denominators) are currently the same. Go straight to step 2.

You are watching: How to add a whole number to a fraction

Step 2. Add the optimal numbers and also put the answer over the same denominator:

 1 4 + 1 4 = 2 4 = 1 2 ... and also execute you check out how 2 4 is easier as 1 2 ? (watch Equivalent Fractions.)

## Example:

Tip 1: The bottom numbers are various. See exactly how the slices are different sizes?

 1 3 + 1 6 = ?

We must make them the same prior to we can continue, because we can"t include them prefer that.

The number "6" is twice as massive as "3", so to make the bottom numbers the same we deserve to multiply the peak and also bottom of the first fraction by 2, choose this:

 × 2

 × 2

Important: you multiply both peak and bottom by the same amount,to keep the worth of the fraction the same

Now the fractions have the very same bottom number ("6"), and our question looks prefer this:

 2 6 + 1 6

The bottom numbers are now the very same, so we deserve to go to step 2.

Step 2: Add the top numbers and also put them over the same denominator:

2 6 + 1 6 = 2 + 1 6 = 3 6

In image create it looks favor this:

 2 6 + 1 6 = 3 6

Step 3: Simplify the fraction:

3 6 = 1 2

In photo develop the whole answer looks like this:

 2 6 + 1 6 = 3 6 = 1 2

### With Pen and also Paper

And right here is how to perform it with a pen and paper (push the play button): ## A Rhyme To Assistance You Remember

♫ "If adding or subtracting is your aim,The bottom numbers must be the same!♫ "Change the bottom making use of multiply or divide,But the exact same to the height have to be used,♫ "And don"t forgain to simplify,Before its time to say great bye"

## Example:

1 3 + 1 5

Aacquire, the bottom numbers are various (the slices are various sizes)!

 1 3 + 1 5 = ? But let us try dividing them into smaller sized sizes that will each be the same:

 5 15 + 3 15

The first fraction: by multiplying the optimal and also bottom by 5 we finished up through 5 15 :

 × 5

 1 3 = 5 15

 × 5

The second fraction: by multiplying the height and bottom by 3 we finished up via 3 15 :

 × 3

 1 5 = 3 15

 × 3

The bottom numbers are currently the very same, so we deserve to go ahead and also include the height numbers:

 5 15 + 3 15 = 8 15 The outcome is already as easy as it have the right to be, so that is the answer:

1 3 + 1 5 = 8 15

## Making the Denominators the Same

In the previous example just how did we understand to cut them into 1/15ths to make the denominators the same? We simply multiplied the 2 denominators together (3 × 5 = 15).

Read around the 2 primary means to make the denominators the same here:

They both occupational, use which one you prefer! ### Example: Cupcakes

You want to make and also market cupcakes:

A friend deserve to supply the ingredients, if you provide them 1/3 of sales And a sector stall costs 1/4 of sales

How much is that altogether?

We need to add 1/3 and 1/4

13 + 14 = ??

First make the bottom numbers (the denominators) the exact same.

Multiply peak and bottom of 1/3 by 4:

1×43×4 + 14 = ??

And multiply top and also bottom of 1/4 by 3:

1×43×4 + 1×34×3 = ??

Now execute the calculations:

412 + 312 = 4+312 = 712

Answer: 7 12 of sales go in ingredients and market costs.

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